Baker - Campbell - Hausdorff relation for special unitary groups SU(N)

Weigert, S. (1997) Baker - Campbell - Hausdorff relation for special unitary groups SU(N). Journal of Physics A: Mathematical and General. pp. 8739-8749. ISSN 0305-4470

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Abstract

Multiplication of two elements of the special unitary group SU(N) determines uniquely a third group element. A BAker-Campbell-Hausdorff relation is derived which expresses the group parameters of the product (written as an exponential) in terms of the parameters of the exponential factors. This requires the eigen- values of three (N-by-N) matrices. Consequently, the relation can be stated analytically up to N=4, in principle. Similarity transformations encoding the time evolution of quantum mechanical observables, for example, can be worked out by the same means.

Item Type:	Article
Copyright, Publisher and Additional Information:	© 1997 IOP Publishing Ltd. This is an author produced version of a paper published in Journal of Physics A: Mathematical and General.
Academic Units:	The University of York > Mathematics (York)
Depositing User:	Repository Officer
Date Deposited:	22 Jun 2006
Last Modified:	19 Feb 2013 12:08
Published Version:	http://dx.doi.org/10.1088/0305-4470/30/24/032
Status:	Published
Refereed:	Yes
Related URLs:	http://www-users.york.ac.uk/~slow500/Pub... http://dx.doi.org/10.1088/0305-4470/30/2...
URI:	http://eprints.whiterose.ac.uk/id/eprint/1352

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